imo class 12 indefinite integration

Split into partial fractions: 1 / ((x-1)(x-2))

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Split into partial fractions: 1 / ((x-1)(x-2))

  • A. 1/(x-2) - 1/(x-1)
  • B. 1/(x-1) - 1/(x-2)
  • C. 1/(x-1) + 1/(x-2)
  • D. 2/(x-2) - 1/(x-1)

Answer: A) 1/(x-2) - 1/(x-1)

Explanation: 1/((x-1)(x-2)) = A/(x-1) + B/(x-2). A = 1/(1-2) = -1. B = 1/(2-1) = 1. So it is 1/(x-2) - 1/(x-1).

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